Optimal. Leaf size=67 \[ \frac{125}{64} (1-2 x)^9-\frac{12675}{512} (1-2 x)^8+\frac{28555}{224} (1-2 x)^7-\frac{21439}{64} (1-2 x)^6+\frac{144837}{320} (1-2 x)^5-\frac{65219}{256} (1-2 x)^4 \]
[Out]
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Rubi [A] time = 0.0946286, antiderivative size = 67, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 22, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.045 \[ \frac{125}{64} (1-2 x)^9-\frac{12675}{512} (1-2 x)^8+\frac{28555}{224} (1-2 x)^7-\frac{21439}{64} (1-2 x)^6+\frac{144837}{320} (1-2 x)^5-\frac{65219}{256} (1-2 x)^4 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)^3*(2 + 3*x)^2*(3 + 5*x)^3,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - 1000 x^{9} - \frac{3675 x^{8}}{2} + \frac{230 x^{7}}{7} + \frac{3617 x^{6}}{2} + \frac{3279 x^{5}}{5} - \frac{2659 x^{4}}{4} - 375 x^{3} + 108 x + 216 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**3*(2+3*x)**2*(3+5*x)**3,x)
[Out]
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Mathematica [A] time = 0.00370956, size = 54, normalized size = 0.81 \[ -1000 x^9-\frac{3675 x^8}{2}+\frac{230 x^7}{7}+\frac{3617 x^6}{2}+\frac{3279 x^5}{5}-\frac{2659 x^4}{4}-375 x^3+108 x^2+108 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)^3*(2 + 3*x)^2*(3 + 5*x)^3,x]
[Out]
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Maple [A] time = 0.002, size = 45, normalized size = 0.7 \[ -1000\,{x}^{9}-{\frac{3675\,{x}^{8}}{2}}+{\frac{230\,{x}^{7}}{7}}+{\frac{3617\,{x}^{6}}{2}}+{\frac{3279\,{x}^{5}}{5}}-{\frac{2659\,{x}^{4}}{4}}-375\,{x}^{3}+108\,{x}^{2}+108\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^3*(2+3*x)^2*(3+5*x)^3,x)
[Out]
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Maxima [A] time = 1.39608, size = 59, normalized size = 0.88 \[ -1000 \, x^{9} - \frac{3675}{2} \, x^{8} + \frac{230}{7} \, x^{7} + \frac{3617}{2} \, x^{6} + \frac{3279}{5} \, x^{5} - \frac{2659}{4} \, x^{4} - 375 \, x^{3} + 108 \, x^{2} + 108 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^2*(2*x - 1)^3,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.178146, size = 1, normalized size = 0.01 \[ -1000 x^{9} - \frac{3675}{2} x^{8} + \frac{230}{7} x^{7} + \frac{3617}{2} x^{6} + \frac{3279}{5} x^{5} - \frac{2659}{4} x^{4} - 375 x^{3} + 108 x^{2} + 108 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^2*(2*x - 1)^3,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.096941, size = 51, normalized size = 0.76 \[ - 1000 x^{9} - \frac{3675 x^{8}}{2} + \frac{230 x^{7}}{7} + \frac{3617 x^{6}}{2} + \frac{3279 x^{5}}{5} - \frac{2659 x^{4}}{4} - 375 x^{3} + 108 x^{2} + 108 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**3*(2+3*x)**2*(3+5*x)**3,x)
[Out]
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GIAC/XCAS [A] time = 0.213984, size = 59, normalized size = 0.88 \[ -1000 \, x^{9} - \frac{3675}{2} \, x^{8} + \frac{230}{7} \, x^{7} + \frac{3617}{2} \, x^{6} + \frac{3279}{5} \, x^{5} - \frac{2659}{4} \, x^{4} - 375 \, x^{3} + 108 \, x^{2} + 108 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^2*(2*x - 1)^3,x, algorithm="giac")
[Out]